Pith Number

pith:SL67SNNP

pith:2010:SL67SNNPJG3H4N4T773CTFWWRC

not attested not anchored not stored refs pending

Complete solution to a problem on the maximal energy of unicyclic bipartite graphs

Bofeng Huo, Xueliang Li, Yongtang Shi

arxiv:1010.6129 v1 · 2010-10-29 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SL67SNNPJG3H4N4T773CTFWWRC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:38:07.438061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92fdf935af49b67e3793fff62996d688bfa6a89eb265db93fc7e888aa920fc45

Aliases

arxiv: 1010.6129 · arxiv_version: 1010.6129v1 · doi: 10.48550/arxiv.1010.6129 · pith_short_12: SL67SNNPJG3H · pith_short_16: SL67SNNPJG3H4N4T · pith_short_8: SL67SNNP

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/SL67SNNPJG3H4N4T773CTFWWRC \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 92fdf935af49b67e3793fff62996d688bfa6a89eb265db93fc7e888aa920fc45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6507cdb985bcd85fd5db8226662b9c78ed2fbb15555d0e9f32e0544098c60f92",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-10-29T06:03:20Z",
    "title_canon_sha256": "fc3067ce2ad9051ea5a11a75c2933931de7b09941308b77fed20ac82ae70a050"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.6129",
    "kind": "arxiv",
    "version": 1
  }
}